Total Recommendations: 2
All Out!! is similar to MHA in the sense they feature a protagonist with a handicap that makes them have to work towards their goal more than their peers and even has a large cast of memorable character designs, although in the case of All Out, the focus is more on the group of characters as a group than the protagonist.
Neon Genesis Evangelion is a very psychological show, and Serial Experiments Lain is the same in that regard, plus they both have a dark science fiction setting. Serial Experiments Lain also touches on some things talked about in the infamous last two episodes of NGE, and if you didn't hate those episodes, I would say that is more of a reason to give SEL a shot. Both also have some great directing and can take a bit of thinking to fully understand the plot.